question_answer

If \[\frac{1-3p}{2},\frac{1+4p}{3}\] and \[\frac{1+p}{6}\] are the probabilities of three mutually exclusive and exhaustive events, then the set of all values of p is

A)  \[[0,1]\]                        

B)  \[\left[ -\frac{1}{4},\frac{1}{3} \right]\]

C)  \[\left[ 0,\frac{1}{3} \right]\]                  

D)   \[(0,\infty )\]

E)  None of these